Difference between revisions of "Graduate Student Singularity Theory"
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Revision as of 21:03, 18 February 2013
It is a weekly seminar by graduate students. Anyone is welcome. If you would like to present a topic, please contact Tommy Wong. Most of the seminars are at Wednesdays 3:00pm in room 901. Please check below for unusual time and location.
|Feb. 6 (Wed)||Jeff Poskin||Toric Varieties III|
|Feb.13 (Wed)||Yongqiang Liu||Intersection Alexander Module|
|Feb.20 (Wed)||Yun Su (Suky)||How do singularities change shape and view of objects?|
|Feb.27 (Wed)||KaiHo Wong||Fundamental groups of plane curves complements|
|Apr. 3 (Wed)||?||?|
|Sept. 18 (Tue)||KaiHo Wong||Organization and Milnor fibration and Milnor Fiber|
|Sept. 25 (Tue)||KaiHo Wong||Algebraic links and exotic spheres|
|Oct. 4 (Thu)||Yun Su (Suky)||Alexander polynomial of complex algebraic curve (Note the different day but same time and location)|
|Oct. 11 (Thu)||Yongqiang Liu||Sheaves and Hypercohomology|
|Oct. 18 (Thu)||Jeff Poskin||Toric Varieties II|
|Nov. 1 (Thu)||Yongqiang Liu||Mixed Hodge Structure|
|Nov. 15 (Thu)||KaiHo Wong||Euler characteristics of hypersurfaces with isolated singularities|
|Nov. 29 (Thu)||Markus Banagl, University of Heidelberg||High-Dimensional Topological Field Theory, Automata Theory, and Exotic spheres|
Thu, 10/4: Suky
Alexander polynomial of complex algebraic curve
I will extend the definition of Alexander polynomial in knot theory to an complex algebraic curve. From the definition, it is clear that Alexander polynomial is an topological invariant for curves. I will explain how the topology of a curve control its Alexander polynomial, in terms of the factors. Calculations of some examples will be provided.